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Finding the Fourth Proportional to 209,952,173.90, 314,928,260.85 and 209,952,173.90

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Solution

The fourth proportional to 209,952,173.90, 314,928,260.85 and 209,952,173.90 is: 314,928,260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,173.90 : 314,928,260.85 = 209,952,173.90 : x
  2. Step 2: Convert to fraction form
    209,952,173.90/314,928,260.85 = 209,952,173.90/x
  3. Step 3: Cross multiply
    209,952,173.90x = 314,928,260.85 × 209,952,173.90
  4. Step 4: Simplify right side
    209,952,173.90x = 66,119,872,988,003,768
  5. Step 5: Solve for x
    x = 66,119,872,988,003,768/209,952,173.90
  6. Step 6: Final answer
    x = 314,928,260.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.